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#!/usr/bin/env python3
import itertools


    

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filename = './input'

bucket = []
with open(filename) as f:
    for line in f:
        bucket.append(int(line.strip('\n')))

        
memo = [1] + 150*[0]
print (memo)

for i in bucket:
    memo = [ count if total < i else count + memo[total - i] for (total, count) in enumerate(memo) ]
print (memo)

print (memo[150])


    

    




[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
[1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 3, 1, 1, 1, 2, 4, 4, 2, 1, 1, 3, 3, 2, 4, 2, 2, 5, 7, 7, 8, 8, 7, 8, 10, 11, 8, 8, 8, 9, 12, 14, 13, 11, 14, 21, 24, 21, 25, 22, 21, 29, 31, 27, 29, 30, 27, 32, 40, 45, 42, 46, 48, 51, 59, 66, 65, 57, 62, 71, 75, 76, 84, 79, 82, 99, 104, 104, 114, 122, 117, 127, 136, 144, 145, 148, 153, 159, 171, 187, 194, 187, 203, 221, 228, 238, 258, 249, 251, 279, 287, 291, 309, 323, 321, 342, 361, 379, 392, 409, 421, 426, 443, 475, 493, 483, 510, 528, 538, 569, 604, 601, 618, 662, 672, 692, 726, 748, 752, 783, 802, 830, 854, 881, 912, 921, 949, 1005, 1041, 1042, 1089, 1112, 1125, 1179, 1227, 1223, 1251, 1304]
1304

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